7,427,047

37 × 200731

For 7,427,047, the 4 positive divisors have a total of 7,627,816. Removing 7,427,047 leaves 200,769, which gives the deficient classification.

Prime Factor Structure

Factorization String 37 × 200731

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,627,816

Proper Divisor Sum 200,769

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7427041 ← → #7427051

Radix Representation

Decimal	7427047
Binary	11100010101001111100111 (23 bits)
Octal	0o34251747
Hexadecimal	0x7153E7

Divisor Catalog (4)

1 37 200,731 7,427,047

Collatz Trajectory (235 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,427,047 22,281,142 11,140,571 33,421,714 16,710,857 50,132,572 25,066,286 12,533,143 37,599,430 18,799,715 56,399,146 28,199,573 84,598,720 42,299,360 21,149,680 10,574,840 5,287,420 2,643,710 1,321,855 3,965,566 1,982,783 5,948,350 2,974,175 8,922,526 4,461,263 13,383,790 6,691,895 20,075,686 10,037,843 30,113,530 15,056,765 45,170,296 22,585,148 11,292,574 5,646,287 16,938,862 8,469,431 25,408,294 12,704,147 38,112,442 19,056,221 57,168,664 28,584,332 14,292,166 7,146,083 21,438,250 10,719,125 32,157,376 16,078,688 8,039,344 4,019,672 2,009,836 1,004,918 502,459 1,507,378 753,689 2,261,068 1,130,534 565,267 1,695,802

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